Jennie is making popcorn. The recipe calls for 12 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth. (1 point)
Responses
3.33
3.33
1.67
1.67
1.66
1.66
1.50
To solve this problem, we can set up a proportion using the given information:
12 cups of butter is to 3 tablespoons of kernels as x cups of butter is to 10 tablespoons of kernels.
Using cross-multiplication:
12/3 = x/10
Simplifying the equation:
4 = x/10
Multiplying both sides by 10:
40 = x
Therefore, Jennie would need 40 cups of butter. To the nearest hundredth, this is equal to 1.67 cups of butter. So, the correct answer is 1.67.
To find out how much butter Jennie needs, let's calculate the ratio of tablespoons of kernels to cups of butter in the original recipe.
The original recipe calls for 3 tablespoons of kernels and 12 cups of butter.
So, the ratio of kernels to butter is 3 tablespoons: 12 cups.
Now, let's use this ratio to find out how much butter Jennie needs with 10 tablespoons of kernels.
Since the ratio is 3 tablespoons: 12 cups, we can set up a proportion:
3 tablespoons / 12 cups = 10 tablespoons / x cups
Cross multiplying, we get:
3x = 10 * 12
3x = 120
Dividing both sides by 3, we get:
x = 120 / 3 ≈ 40
Therefore, Jennie needs approximately 40 cups of butter when she uses 10 tablespoons of kernels.
Rounding to the nearest hundredth, the answer is 1.67.
So, Jennie needs 1.67 cups of butter.
To find out how much butter Jennie needs if she uses 10 tablespoons of kernels instead of the original 3 tablespoons, we can set up a proportion.
The original recipe called for 3 tablespoons of kernels and 12 cups of butter. So, in the proportion:
(3 tablespoons) / (12 cups) = (10 tablespoons) / (x cups)
To solve for x (the amount of butter needed), we can cross multiply and solve for x.
3 tablespoons * x cups = 10 tablespoons * 12 cups
3x = 120
x = 120 / 3 ≈ 40
Therefore, Jennie needs approximately 40 cups of butter if she uses 10 tablespoons of kernels.
Rounded to the nearest hundredth, the answer is 40.00.